Free Printable WorksheetMathGrade 8Math Curriculum8.F.B.4

8.109 Interpreting Points on a Function Graph Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.109 Interpreting Points on a Function Graph. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.109 Interpreting Points on a Function Graph - Which statement correctly interprets the meaning of a point on the function graph? (CCSS 8.F.B.4; CA 8.F.B.4; MA 8.F.B.4)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 8

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 8.109 Interpreting Points on a Function Graph skill assessments:

Problem 1Difficulty: Hard

A graph of z(x), where z(x) is elevation relative to the tunnel entrance in meters x tenths of a kilometer into the tunnel, includes the point (7, -28). Which interpretation is correct?

A0.7 kilometers into the tunnel, the elevation is 28 meters above the entrance.

B0.7 kilometers into the tunnel, the elevation is 28 meters below the entrance.

C7 kilometers into the tunnel, the elevation is 28 meters below the entrance.

D28 tenths of a kilometer into the tunnel, the elevation is 7 meters below the entrance.

Solution & Explanation:The x-value 7 stands for 7 tenths of a kilometer, which is 0.7 kilometers. The y-value -28 means the elevation is 28 meters below the tunnel entrance.

Problem 2Difficulty: Hard

On the graph of q(t), q(t) is height above the stage floor in meters t seconds from curtain rise. The point (0, 1.2) is on the graph. What does it mean?

AThe point means q(1.2) = 0.

BWhen the curtain rises, the platform is 1.2 meters below the stage floor.

CWhen the curtain rises, the platform is 1.2 meters above the stage floor.

D1.2 seconds after the curtain rises, the platform is 0 meters above the stage floor.

Solution & Explanation:The x-value 0 means the moment of curtain rise. The y-value 1.2 means the platform is 1.2 meters above the stage floor then.

Problem 3Difficulty: Hard

A graph of n(w), where n(w) is net gain in dollars after w weeks from camp opening, contains the point (-3, -45). Which statement correctly interprets the point?

AThree weeks before camp opening, the net gain is 45 dollars.

BThree weeks before camp opening, the net gain is -45 dollars, meaning a loss of 45 dollars.

CForty-five weeks before camp opening, the net gain is -3 dollars.

DThree weeks after camp opening, the net gain is -45 dollars, meaning a loss of 45 dollars.

Solution & Explanation:The x-value -3 means 3 weeks before camp opening. The y-value -45 means the net gain is negative, which represents a loss of 45 dollars.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 8.F.B.4 (Primary standard selected for prompt fields: CCSS 8.F.B.4. Skill statement: Which statement correctly interprets the meaning of a point on the function graph? Associated standards listed with this skill: CCSS 8.F.B.4; CA 8.F.B.4; MA 8.F.B.4. Use this embedded wording as the best available supporting standard description for this workflow.).